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Finding the Fourth Proportional to 3,855.64, 5,786.70 and 1,666.04

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Solution

The fourth proportional to 3,855.64, 5,786.70 and 1,666.04 is: 2,500.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.64 : 5,786.70 = 1,666.04 : x
  2. Step 2: Convert to fraction form
    3,855.64/5,786.70 = 1,666.04/x
  3. Step 3: Cross multiply
    3,855.64x = 5,786.70 × 1,666.04
  4. Step 4: Simplify right side
    3,855.64x = 9,640,873.67
  5. Step 5: Solve for x
    x = 9,640,873.67/3,855.64
  6. Step 6: Final answer
    x = 2,500.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.